What is factor 14a^2-15a+4 ?

The solution to factor 14a^2-15a+4 is (2a-1)(7a-4)

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factor 14a^2-15a+4

factor

14 a^{2} - 15 a + 4

(2 a - 1) (7 a - 4)

Solution steps

14 a^{2} - 15 a + 4

Break the expression into groups

= (14 a^{2} - 7 a) + (- 8 a + 4)

Factor out

7 a

from

14 a^{2} - 7 a : 7 a (2 a - 1)

Factor out

- 4

from

- 8 a + 4 : - 4 (2 a - 1)

= 7 a (2 a - 1) - 4 (2 a - 1)

Factor out common term

2 a - 1

= (2 a - 1) (7 a - 4)

0 = 3 x^{2} - 12

2 x^{2} - 3 x = - 1

(x - 6 x + 12)^{2} + 1 = - ∣ x ∣

w^{2} - w - 30

x^{2} + 14 x + 48 > 0